An extension of the standard rationing model is introduced. Agents are not only identi fied by their respective claims over some amount of a scarce resource, but also by some payoff thresholds. These thresholds introduce exogenous differences among agents (full or partial priority, past...

We give conditions to compute the extreme core allocations of a multisided assignment game. The way to compute the extreme core points rely on the extreme core points of a suitable finite family of cooperative games